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Question Number 167002 by qaz last updated on 04/Mar/22

$$\mathrm{calculate}::\underset{\mathrm{t}\to \mathrm{\infty }}{\lim 8}{\int }_0^{\pi /2}{\mathrm{e}}^{\mathrm{x}}\cdot \sin \left(\mathrm{tx}\right)\cdot \sin \left(2\mathrm{tx}\right)\cdot \cos \left(3\mathrm{tx}\right)\cdot \cos \left(4\mathrm{tx}\right)\mathrm{dx}=?$$

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